This recipe makes 20 cupcakes. Deepak only wants to make 16 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 12 ounces butter 10 ounces sugar 15 ounces flour 5 eggs

- 9.6 oz butter

- 8 oz sugar

- 12 oz flour

- 4 eggs

Step-by-step explanation:

We know that for 20 cupcakes, we need the following amount for each ingredient:

- 12 oz butter

- 10 oz sugar

- 15 oz flour

- 5 eggs

We now only want 16 cupcakes. To find how much of each ingredient we need, let's write a proportion for each. Say b is the amount of butter we need, s is the amount of sugar, f is flour, and e is eggs:

16 cupcakes / 20 cupcakes = b oz butter / 12 oz butter

16 cupcakes / 20 cupcakes = s oz sugar / 10 oz sugar

16 cupcakes / 20 cupcakes = f oz flour / 15 oz flour

16 cupcakes / 20 cupcakes = e eggs / 5 eggs

These turn out to become:

20b = 16 * 12  ⇒  b = 9.6 oz butter

20s = 16 * 10  ⇒  s = 8 oz sugar

20f = 16 * 15  ⇒  f = 12 oz flour

20e = 16 * 5  ⇒  e = 4 eggs

Thus, our answers are:

- 9.6 oz butter

- 8 oz sugar

- 12 oz flour

- 4 eggs

~ an aesthetics lover

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.